[go: up one dir, main page]

Search a number
-
+
214422930 = 23354761277
BaseRepresentation
bin11001100011111…
…01010110010010
3112221110210222000
430301331112102
5414343013210
633135454430
75212364511
oct1461752622
9487423860
10214422930
11100044137
125b987416
1335567097
1420698678
1513c57ac0
hexcc7d592

214422930 has 128 divisors (see below), whose sum is σ = 595676160. Its totient is φ = 54846720.

The previous prime is 214422919. The next prime is 214422941. The reversal of 214422930 is 39224412.

It is an interprime number because it is at equal distance from previous prime (214422919) and next prime (214422941).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214422894 and 214422903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773952 + ... + 774228.

It is an arithmetic number, because the mean of its divisors is an integer number (4653720).

Almost surely, 2214422930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214422930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297838080).

214422930 is an abundant number, since it is smaller than the sum of its proper divisors (381253230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214422930 is a wasteful number, since it uses less digits than its factorization.

214422930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214422930 is about 14643.1871530757. The cubic root of 214422930 is about 598.5361816306.

The spelling of 214422930 in words is "two hundred fourteen million, four hundred twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 61 90 94 122 135 141 183 235 270 277 282 305 366 423 470 549 554 610 705 831 846 915 1098 1269 1385 1410 1647 1662 1830 2115 2493 2538 2745 2770 2867 3294 4155 4230 4986 5490 5734 6345 7479 8235 8310 8601 12465 12690 13019 14335 14958 16470 16897 17202 24930 25803 26038 28670 33794 37395 39057 43005 50691 51606 65095 74790 77409 78114 84485 86010 101382 117171 129015 130190 152073 154818 168970 195285 234342 253455 258030 304146 351513 387045 390570 456219 506910 585855 703026 760365 774090 794159 912438 1171710 1520730 1588318 1757565 2281095 2382477 3515130 3970795 4562190 4764954 7147431 7941590 11912385 14294862 21442293 23824770 35737155 42884586 71474310 107211465 214422930